A fitted multiple regression equation is Y = 12 + 3X1 - 5X2 + 7X3 + 2X4.When X1 increases 2 units and X2 increases 2 units as well,while X3 and X4 remain unchanged,what change would you expect in your estimate of Y?
A)Decrease by 2
B)Decrease by 4
C)Increase by 2
D)No change in Y

Question

Quizplus · Accepted Answer

When X1 increases 2 units, the estimate of Y will increase by 3(2) = 6. 
When X2 increases 2 units, the estimate of Y will decrease by 5(2) = 10. 
The net effect is a decrease of 4 in the estimate of Y.

A Fitted Multiple Regression Equation Is Y = 12